Concept explainers
(a)
The position of first bright fringe.
(a)
Answer to Problem 2SP
The position of first bright fringe is 17.1 mm away from the center at each side.
Explanation of Solution
Given info:
Write an expression for condition of maxima.
Here,
Substitute
Thus, the position of first bright fringe is 17.1 mm away from the center at each side.
Conclusion:
The position of first bright fringe is 17.1 mm away from the center at each side.
(b)
The position of second bright fringe.
(b)
Answer to Problem 2SP
The position of second bright fringe is 34.3 mm away from the center at each side.
Explanation of Solution
Given info:
Wavelength of the light is
Write an expression for condition of maxima.
Here,
Substitute
Thus, the position of second bright fringe is 34.3 mm away from the center at each side.
Conclusion:
The position of second bright fringe is 34.3 mm away from the center at each side.
(c)
The position of first dark bright fringe.
(c)
Answer to Problem 2SP
The position of first dark fringe is 25.7 mm away from the center at each side.
Explanation of Solution
Given info:
Wavelength of the light is
Write an expression for condition of minima.
Here,
Substitute
Thus, the position of first dark fringe is 25.7 mm away from the center at each side.
Conclusion:
The position of first dark fringe is 25.7 mm away from the center at each side.
(d)
Sketch the diffraction pattern and mark the position of the fringes.
(d)
Answer to Problem 2SP
The diffraction pattern is given in figure 1.
Explanation of Solution
Following figure gives the diffraction pattern.
Figure 1
Here, the first, second and third order bright fringes will appear at distance of 17.1 mm, 34.3 mm and 51.4 mm from center respectively at each side of the central maxima. The dark fringes of order 1, 2 and 3 will form distances 25.7 mm, 42.8 mm and 60.0 mm respectively.
Conclusion:
The diffraction pattern is given in figure 1.
Want to see more full solutions like this?
Chapter 16 Solutions
Physics of Everyday Phenomena
- (a) What is the minimum width of a single slit (in multiples of ) that will produce a first minimum for a wavelength ? (b) What is its minimum width if it produces 50 minima? (c) 1000 minima?arrow_forwardIn a Youngs double-slit experiment, two parallel slits with a slit separation of 0.100 mm are illuminated by light of wavelength 589 nm, and the interference pattern is observed on a screen located 4.00 m from the slits. (a) What is the difference in path lengths from each of the slits to the location of the center of a third-order bright fringe on the screen? (b) What is the difference in path lengths from the two slits to the location of the center of the third dark fringe away from the center of the pattern?arrow_forward(a) What is the smallest separation between two slits that will produce a second-order maximum for any visible light? (b) For all visible light?arrow_forward
- In a Youngs double-slit experiment, a set of parallel slits with a separation of 0.100 mm is illuminated by light having a wave- length of 589 nm, and the interference pattern is observed on a screen 4.00 m from the slits, (a) What is the difference in path lengths from each of the slits to the location of a third-order bright fringe on the screen? (b) What is the difference in path lengths from the two slits to the location of the third dark fringe on the screen, away from the center of the pattern?arrow_forwardIntense white light is incident on a diffraction grating that has 600. lines/mm. (a) What is the highest order in which the complete visible spectrum can be seen with this grating? (b) What is the angular separation between the violet edge (400. nm) and the red edge (700. nm) of the first-order spectrum produced by the grating?arrow_forwardIntense white light is incident on a diffraction grating that has 600. lines/mm. (a) What is the highest order in which the complete visible spectrum can be seen with this grating? (b) What is the angular separation between the violet edge (400. nm) and the red edge (700. nm) of the first-order spectrum produced by the grating?arrow_forward
- Light at 633 nm from a helium-neon laser shines on a pair of parallel slits separated by 1.45 105 m and an interference pattern is observed on a screen 2.00 m from the plane of the slits. (a) Find the angle from the central maximum to the First bright fringe. (b) At what angle from the central maximum does the second dark fringe appear? (c) Find the distance from the central maximum to the first bright fringe.arrow_forward(a) How wide is a single slit that produces its first minimum for 633-nm light at an angle of 28.0°? (b) At what angle will the second minimum be?arrow_forward(a) What is the width of a single slit that produces its first minimum at 60.0° for 600-nm light? (b) Find the wavelength of light that has its first minimum at 62.0°.arrow_forward
- Monochromatic light of wavelength is incident on a pair of slits separated by 2.40 104m. and forms an interference pattern on a screen placed 1.80 m away from the slits. The first-order bright fringe is 4.52 mm from the center of the central maximum. (a) Draw a picture, labeling the angle and the legs of the right triangle associated with the first-order bright fringe. (b) Compute the tangent of the angle associated with the first-order bright fringe. (c) Find the angle corresponding to the first-order bright fringe and compute the sine of that angle. Are the sine and tangent of the angle comparable in value? Does your answer always hold true? (d) Calculate the wavelength of the light. (e) Compute the angle of the fifth-order bright fringe. (f) Find its position on the screen.arrow_forwardMonochromatic light of wavelength is incident on a pair of slits separated by 2.40 104m. and forms an interference pattern on a screen placed 1.80 m away from the slits. The first-order bright fringe is 4.52 mm from the center of the central maximum. (a) Draw a picture, labeling the angle and the legs of the right triangle associated with the first-order bright fringe. (b) Compute the tangent of the angle associated with the first-order bright fringe. (c) Find the angle corresponding to the first-order bright fringe and compute the sine of that angle. Are the sine and tangent of the angle comparable in value? Does your answer always hold true? (d) Calculate the wavelength of the light. (e) Compute the angle of the fifth-order bright fringe. (f) Find its position on the screen.arrow_forwardFigure 27.55 shows the central part of the interference pattern for a pure wavelength of red light projected onto a double slit. The pattern is actually a combination of single slit and double slit interference. Note that the bright spots are evenly spaced. Is this a double slit or single slit characteristic? Note that some of the bright spots are dim on either side of the center. Is this a single slit or double slit characteristic? Which is smaller, the slit Width or the separation between slits? Explain your responses. Figure 27.55 This double slit interference pattern also shows signs of single slit interference. (credit: PASCO)arrow_forward
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningPhysics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
- Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning